Twice a quantity usually indicates to take two of the things in question; usually this indicates to multiply by 2. This list of commonly used mathematical symbols explains what each math symbol is, how it is used and provides a sample expression. if two is subtracted from a number and this difference is tripled, the result is six more than the number. Answer (1 of 21): In language usage (not mathematical meaning), "twice as many A as B" means A is two times more than B or as you put it, A = 2B. Because we don't want to miss a solution! Six plus one, the answer is seven. The quotient of k decreased by 4 and 9. Let's get our number line out here. Twice the sum of a number and 5: 2(n + 5) The quotient of 7 and a number increased by 10: 7/(n+10) the product of a number and 5: 5n: Two-fifths of a number (2/5)n: Seven increased by 10 times a number: 7 + 10n: Five decreased by twice a number: 5 - 2n: Seven divided by 10 times a number: 7/(10n) Mrs. Bergeron. 7) The product of a number and four increased by the number. Why is this "plus or minus" important? Thus "twice a number x" can be written symbolically as 2x. How it is used. :) Advertisement New questions in Math find the parameter of a regular hexagon of side X CM very good morning himani If a quantity, such as the charge on an electron, may have either of two opposite senses, then one may choose to . It's called that because its value doesn't change, even if the value of the variable changes. Example 2: Translate "a number decreased by eight equals twelve" into an equation and solve. Two times the product of a and b divided by 5. 4c + 71 2 12. Rita's score is 13 more than 4 times Milan's score. 9n - 2. 6 more than the product of 8 30. the quotient of 40 and the 15. The quotient of 14 and 7 5. Example 2: The difference of triple a number and 5 Answer: Let variable y be the unknown number. 12. In mathematics, a negative number represents an opposite. Solution. Six more than seven times a number is . Step 2: Find two verbal expressions for the same value. 15. Twice the number k = 2k according to the problem given, 2k + k -2 = 3k - 2 I hope this helps you. A number minus 3 is at least -5. 2 minus the quantity 3 more than p 2. Translate Algebraic Expressions Practice Now that you understand some key elements of translating words into algebraic expressions, you are ready to practice on your own. A number . What the equal sign is saying is that what's on the left side is the same amount, the same quantity, as what is on the right-hand side. Given : Two digit number is 7 times the sum of its digits. 9=5-x C. 9-x=5 D. x-9=5 4. 7. Q. Explanation: a number and 3: if the number is denoted n, then 'a number and 3'# -> 'amber +3' -> 'n + 3' to have twice this whole quantity (instead of, for instance, only n being doubled: put 'n +3' in brackets -> (n + 3) then to double it, put a 2 before the whole expression (n+3) -> 2(n + 3) the final expression: 2(n +3) Answer link Add your answer and earn points. This is also true for adding parts, plural: Three fourths of 108. In contrast to negation, placing two bars around a number gives you the absolute value of that number. 11. Addition sign. 1.) Example: Solve x 2 9 = 0 Start with: x 2 9 = 0. 6. A number decreased by 8. The final answer is k+10 k + 10. 4. The number that the variable is being multiplied by is called the coefficient - like the 2 above. 4 times the sum of x and 1 2 7. The Sum (Summation) Calculator is used to calculate the total summation of any set of numbers. The difference (use minus symbol) of triple a number and 5 should be written as 3y - 5. five times the difference of a number and one. (the little 2 means the number appears twice in multiplying, so 44=16) Square Root. 27. 9. of the number of sides n and 2. ! 12. half a number x plus 4. answer . He works x hours each . 9(y 2 1 x) 5 18 9 times the sum 11. 2n = 14 . 5 divided by the sum of b plus 2. five more than twice a number. minus 5, equals, 7 plus 2 x. (Think about ittwice the number 8 would be 2 8 = 16.) 15 15. . Nine less than the total of a number and 2. x equals 3. 4.Six times a number is fifty-four. Adding 5 to both sides of 6 x. minus 5, equals, 7 plus 2 x. and subtracting 2 x. from both sides yields 4 x. equals 12. 4.) The product of a number and 3 decreased by 5 14. Twice = two times. Dividing both sides of 4 x. equals 12 by 4 yields . x = 2x + (-3) So let's say we had four is equal to negative two plus blank. 68 - 17 = x Answer: x = 51, so Jeanne needs $51 to buy the game. 15 more than twice a number. 13. That's not quite right. We can now express our translation in this form for a while: twice a number + 9. . What it is. 112 = 100 + 12. seven divided by twice a number . 2n - 9. What is an algebraic expression that represents the eight times the sum of y and twenty-eight. Eight minus two, the answer is six. 6, 12, 8, 9, 6, 15, 7, 8, 10, 3, 8 $16:(5 The sum of five times a number and 7 equals 18. twenty less than a number. 8.) If we let s represent Milan's score, write an algebraic expression for Rita's score. What is the quantity x minus 3 divided by y written as a mathematical expression? Find the number. Locate the "equals" word (s). e the expression Ex 1 4 less than the quantity 6 . Five divided by the sum of a and b. Sample expression. Addition ( + ) plus A number plus three x + 3 more than Ten more than a number x + 10 the sum of The sum of a number and five x + 5 the total of The total of six and some number 6 + x increased by A number increased by two x + 2 added to Eleven added to a number x + 11 Subtraction ( ) minus A number minus seven X - 7 In each case, write algebraic expression for the given verbal phrase. minus 6, is equal to two times the number, plus 8. k, NOT k 2. 15 15. . This is mostly used when you are multiplying a fraction times a number. 1. g^3. 9 - 2n. ! Twice a number 8. Twice a number 10. The number formed by reversing the digits is 18 less than the given number. The quotient of k decreased by 4 and 9. answer. 100 + (8 . 8. q 2 (4 1 p) 5 q q minus the sum 9. t 1 2 5 t of 4 and p equals times q. Of is the tricky word. Choices A, B, and C are incorrect because substituting those values into the equation 3 x. plus . It is clearly stated that there are two quantities that will be added-the quantity twice a number and 9. 5 less than the product of 3 and a number : 3w - 5 : twice the difference between a number and 9 : 2(z - 9) . 2x - 1 = 17: Twelve is the product of a number and three. Half of the quantity 1 less than w 14. SURVEY . x . The length of a football field is 30 yards more than its width. 2n + 5. the product of a number and 6. Translate : Two times a number plus 9 A. 2 - 9n. SomaniJr SomaniJr 2k+s-2 is same as twice a no k plus the quantity s minus2 . Attaching a minus sign to 0 doesn't change its value, so -0 = 0. x - 7 = -3: One less than twice a number is seventeen. Which equation represents the sentence, "The difference of 9 and x is 5"? 9 times a number minus 2. answer choices . Translate the words to the left of the equals word into an algebraic expression. What is the correct translation of : 3 times the quantity m minus 7 A. ! ! The word is tells us the equal sign goes between 9 and 15. If we let x represent Mike's debt, write an algebraic expression for Ted's debt. 15. We could do this the same way we've been doing others. 7. Nine less than the total of a number and 2. What is the number we have to solve for N. So on the left hand side of the equation, we need to apply the distributive property three times and minus three times to is equal to end plus six. Express the fact that x differs from 3 by less than 2/7 as an inequality involving absolute value. Then the following equation can represent this problem: 17 + x = 68 We can subtract 17 from both sides of the equation to find the value of x. 3 x + 1 = 3 2 + 1 = 7 and 5(x 2 + 3 x) = 5(2 2 + 3 2) = 30. Let Zane three times smaller. Example: 4 less than the quantity of 6 times the sum of a number and 5 Translation: _____ You trytranslate the verbal expressions to math: a) 8 more than a number b) The difference of 7 and a number c) The product of 10 and a number d) The quotient of twice a . (r 10) r 4 4. Sum of x and twice y. Subtraction of z from y. 11. Solution: Let x represent the amount of money Jeanne needs. For exercises 1 and 2, translate each phrase into an algebraic expression. Example #9. Key words : more than, twice, and difference. the sum of a number and twelve. 2. Now we need to combine like terms three n and n. 3. The sum of a number and 8 8.8 more than a third of a number 1 1. half a number plus two. So twice a number means 2x. 10x + y = 7x + 7y. Half of the quantity 1 less than w 14. The word is tells us the equal sign goes between 9 and 15. 13. A number n plus 7 The difference of a number n and 6 A number y minus 5 12 times a number y of a number x The quotient of a number k and 2 -Pup order "The difference of a number n and 6" is written n 6, NOT 6 n! sum of the cube of x and half of y The cube of x means we raise x to the 3rd power: x^3 half of y means we divide y by 2: y/2 sum of the cube. And you didn't have to write it this way. 6 more than the twice a number. A term is a group of numbers and variables. One fourth the sum of r and ten is identical to r minus 4. Half of 100 is 50. Five minus twice the . 7.Twice a number less eight is equal to one more than three times the number. 6 less than twice k 10. Five divided by the sum of a and b. 6 more than the quotient of 2 and a . Using the letter k as the variable, we can translate the statement above as 10 + k. Since addition is commutative, we can rewrite it as k + 10. 6.Three more than seven times a number is nine more than five times the number. One-third of a number increased by 4. Thread. 12. The product of a number and 3 decreased by 5 14. 1. four times the quantity of x minus two. This means that an unknown number has been added to 10. The algebraic expression is 2n + 15. The quotient of k decreased by 4 and 9. 2. Half of 112 = Half of 100 + Half of 12. 2+5n B. 6 less than twice k 10. (a) The sum of 6 and twice a number Solution: The phrase "twice a number" translates into two times the number, or 2 x. So let's assume that the smaller number is in so the larger number would be equal to the sum, which is 15 minus two smaller. We just became five less negative is one way to think about it. 8 more than a third of a number 9. We have two numbers with some off, uh, 15. "The quotient of a number k and 2" is written , NOT ! x, plus . Half of the quantity 1 less than w 14. 7. 3 (w x ) 32 Translate each sentence into a formula. 6 less than twice k 10. the sum of sixteen and three times a number minus four. Degrees Kelvin K equals 273 plus . Find an answer to your question Twice a number k plus the quantity s minus 2 Akgdvnchbffb Akgdvnchbffb 16.08.2017 Math Primary School answered Twice a number k plus the quantity s minus 2 . equals . A reciprocal of a number is a second number such that when the two numbers are multiplied the answer is 1. 6x - 5 2x 9) The product of two numbers, if one number is one less than x(2x - 1) twice the other number. The reciprocal of 7 is . Five divided by the sum of a and b. About Sum (Summation) Calculator. The two adjacent (side-by-side) minus signs cancel each other out. -5 plus the quantity of 4 times x Now take the product of -8 and that expression and then add 6. The product of a number and 3 decreased by 5 Write the = sign. S 5 180(n 2 2) Translate each equation into a verbal sentence. Nine less than the . 6 less than the product of 2 times a. One or more terms added Know The Invisible (Understood) Ones. In the real number system, a negative number is a number that is less than zero.Negative numbers are often used to represent the magnitude of a loss or deficiency. e the expression Ex 1 4 less than the quantity 6 . ! 53 4c 21 2. 7. So he is three times smaller. Absolute value is the number's distance from 0 on the number line that is, it's the positive value . Nine less than the total of a number and 2. the quotient of five and a number. The product of x and 4 decreased by 2 5. 3. the quantity of x minus three times x plus . . The sum of a number and 8 8.8 more than a third of a number 1 1. A number n plus 7 The difference of a number n and 6 A number y minus 5 12 times a number y of a number x The quotient of a number k and 2 -Pup order "The difference of a number n and 6" is written n 6, NOT 6 n! 7. 12 = 3x: Half of a number is twenty. Three plus the sum of the squares of w and x is 32. Twice a number 2x Ten percent of x 0.10x . The number is seven. 11 more than half a number is the same as: half a number and 11 more. ? 6.) Fifty-three plus four times c is as much as 21. For example 1/2 of a number means 1/2 times a number. 5.) 195) the product of k and 6 is equal to 48 196) the difference of x and 9 is 36 197) k increased by 9 is 23 198) x decreased by 12 is equal to 11 199) x minus 3 is equal to 50 200) x times 10 is 38 201) 12 more than x is 8 202) the product of w and 10 is 23 203) q increased by 8 is 38 204) d divided by 5 is equal to 10 Let's do another one! 8 minus some number : 8 - t : the difference between a number and 12 : w - 12 . Akgdvnchbffb is waiting for your help. Five more than twice the difference of a number and thirteen. 900 seconds . Half of 12 is 6. 0 is less than or equal to a number 5 plus a number is at least 9 3 minus a number is at most 2: 4 = x 3 + x = 9 7 - x = 0 0 x 0 x 5 + x 9 6 less than the quotient of z divided by 3 8. twice a number k plus the quantity s minus 2 9. plus the quantity s is just s as a number, then minus 2 is =2k+s-2 i got it wrong thanks to you Advertisement Advertisement New questions in Mathematics Which number is both a mode and a median in this set of numbers? 2 minus the quantity 3 more than p 2. S. 5. 8 more than s stripes 10. 1. the difference of a number and sixteen (1 point) A.n + 16 B.n - 16 C.16n D.n/16 2. five times k (1 point) A.5k B.k + 5 C.k 5 D.5 - k For . 4x + x 8) Five less than six times a number divided by twice the number. Any number not joined to a variable is called a constant - like the 4 above. 5 times the quantity m divided by 2 In 11-14, tell how many terms each expression has. 8 more than a third of a number 9. "The quotient of a number k and 2" is written , NOT ! ENGLISH: 1. as defined above. for problem number 22. 8. Ted's debt is 15 less than half of Mike's debt. Translate the words to the right of the equals word into an algebraic expression. Now we have that one. 3.An unknown quantity less fourteen. Symbol. So, we have. Solution. Example 1: Translate into mathematical expressions. Write the = sign. ! 79 more than s. s + 79. g cubed. nine times a number. Twice a number 8. Five divided by the sum of a and b. Two more than of t equals t. 10. Twice = two times. Remembering that "more than" means "plus that much", I'll be adding 30 to the w. The expression they're looking for is: The quotient of k decreased by 4 and 9. So triple a number means 3y. This is Can you now write 5 more than the product of a number and 3, which is the same as the product of a number and 3 and 5 more? Solution: The keywords "increased by" imply addition. One lysine means minus one. twice a number n 5. 5 / (b + 2) Daniel gets a paycheck every 4 weeks. A. 12 fewer than h hats 6. Twice a number 10. In the problem above, x is a variable. 3 less than the quotient of a 28. the sum of a number x and 4, number y and 4 all divided by 3 29. Step-by-step explanation: twice means 2 and k is just a number but as a letter. twice a number decreased by eleven. For example 2 x + 5 is an expression but +) is not. Algebraic Expressions and Key Words for Multiplication. We see then that to find a part of a sum -- of 100 + 12 -- we may find that part of each term of the sum, and then add. In mathematics, summation is the addition of a sequence of any kind of numbers, called addends or summands; the result is their sum or total. Thus substituting x = 2 gives. Incorrect. Half of the quantity 1 less than w 15. $16:(5 The quotient of k decreased by 4 and 9. 3.) A number plus 8 is greater than 11. Half of the quantity 1 less than w 15. The number is x: 2(x+3) = 3(x-6) 2x + 6 = 3x -18 2. the quantity of x minus three times the quantity of x plus four. 5h 2g 23 3. Translate the words to the right of the equals word into an algebraic expression. If this is part of a. 12. It's the same as saying it in these alternative ways: * "A is twice as many/much as B." (In your question details already) "Twice as many/much . Let's get our number line out here and let's see. twice the sum of a number and 3 is equal to three times the difference of the number and 6. find the number. The key words for multiplication are: times, product, twice, doubled, multiplied, and of. +. 11. Nine less than the . Step 1: Assign a variable to the unknown quantity. Wait! 3xm-7 C. 3-m D. 3xm7 2. 2 minus the quantity 3 more than p 13. xy = 7(x + y) 10x + y = 7x + 7y. APPLICATION: See list 0. EX. Product of p and q added to 7. x more than two-third of y. Write a problem based . the product of 12 and the sum of a number and negative 3 $16:(5 the difference between the product of 4 and a number and the square of the number $16:(5 4x x2 Write a verbal sentence to represent each equation. 80.6 - 3p-q 13. 12. Find the given number. Four is equal to negative two plus blank. Twice a number 8. x = 20: A number is equal to the sum of twice the number and negative three. Answer: The given worded form is: A number minus 3 is at least -5 Let the number be x So, The representation of the given worded form in the form of inequality is: x - 3 -5 So, x - 3 + 5 -5 + 5 x + 2 0 x -2 Let n be the number. the product of 2 and a number: 2x: 6 added to a number: 6+x: twice a number plus 5: 2x+5: 4 less than a number: x-4: 3 less than 2 times a number: 2x-3: 2 times the sum of x and 6: 2(x+6) the quotient of 6 and a number: 6/x: the product of 5 and a number: 5a: 6 more than twice a number: 2x+6: two less than a number: x-2: the sum of 9 and a . x + 2 = 8: The difference between a number and seven is negative three. The product of a number and 3 decreased by 5 Express the length of the field in terms of its width w. Whatever the width w is, the length is 30 more than this. 11. Key words : more than and twice. Two -fifths times the quantity C plus four . Examples: 1. 2.Eight minus a number. Five less than one-half of a number. the product of two and a number: 2x or 2(x) multiply: a third of the sum of a number and two (x + 2)/3: start with the sum, take a third of it: double the difference between 6 and a number: 2(6-x) start with the difference, multiply by 2: triple the sum of four, five, and a number: 3(4 + 5 + x) start with the sum, multiply by 3: the value of 4 . Five divided by the sum of a and b. 2(m 2 n) 5 v 1 7 Twice the quantity of y squared and x is 18. m minus n is v plus 7. The necklace contained a small quantity of gold. Which algebraic expression best represents the following verbal expression? 9 = - 5 B. Examples of algebraic expressions are: 3 x + 1 and 5(x 2 + 3 x) As discussed later in this module the multiplication sign is omitted between letters and between a number and a letter. 2 minus the quantity 3 more than p 13. Difference of : Again, any number after 'of' comes first in the . How to write algebraic expressions? 5.Two ninths of a number is eleven. The quotient of 14 and 7 5. 2.) A square root goes the other direction: 3 squared is 9, so a square root of 9 is 3. . Logical OR symbol. Alright. Sum of the squares of x and y. Therefore, half of 112 is 56. Think of "of" meaning to multiply when you are . 2n+9 C. 29+n D. 9n+23. Let the unknown number = x. So one less then so smaller. The word "sum" indicates that you should add 6 and 2 x together to get a final answer of 6 + 2 x. Tags: Question 30 . The sum (use plus symbol) of twice a number and 3 can be written as 2x+3. ! (7 # 2) , s 14. The product of 2 times a number is 10 2x = 10 One half a number is 10 x/2 = 10 Five times the sum of x and 2 5(x + 2) Seven is greater than x 7 > x Five times the difference of a number and 4 5(x - 4) Ten subtracted from 10 times a number is that number plus 5 10x - 10 = x + 5 The sum of 5x and 10 is . Translate the words to the left of the equals word into an algebraic expression. The product of a number and 3 decreased by 5 n 7. 2 minus the quantity 3 more than p 13. Locate the "equals" word (s). The product of negative two times a certain number a and the quantity a plus nine. A debt that is owed may be thought of as a negative asset. A number plus two is eight. 7.) 6n. the product of 2 and a number: 2x: 6 added to a number: 6+x: twice a number plus 5: 2x+5: 4 less than a number: x-4: 3 less than 2 times a number: 2x-3: 2 times the sum of x and 6: 2(x+6) the quotient of 6 and a number: 6/x: the product of 5 and a number: 5a: 6 more than twice a number: 2x+6: two less than a number: x-2: the sum of 9 and a . 3 ( m - 7 ) B. 1. the quantity 2 minus 66n, divided by 2 (2 - 66 n) / 2. the sum of 6 b and 9, squared . Either of the two above is a correct answer. Math. Three plus the product of a number and thirteen 7. 6) Eleven times the difference of a number and three is equal 5( x - 3) = 2x to twice the number. The sum of five times h and twice g is equal to 23. Section 1.2 Writing Expressions 13 Write the phrase as an expression. 3x - 6y = 0. x - 2y = 0 -----(1) Given : The number formed by . Write an expression or equation as needed. the difference of three and twice a number plus one 3 - (2p+1) So, whenever you are performing algebraic translations, you can use parenthesis to separate independnt groupings. Solution : Let "xy" be the required two digit number. How it is read. Thread by: math_celebrity , Feb 12, 2022 , 0 replies, in forum: Calculator Requests. Twice the sum of m and n. b decreased by twice a. Then evaluate when x = 5 and y = 20. . Answer: Question 22. View Answer . 2 14 2 2 = n * divide both sides of the equation by 2 n = 7 . Quantities The word "quantity" indicates grouping (parentheses). 8 more than a third of a number 9. ! It's saying that two plus three is the same thing as five. $16:(5 The difference between the square of a number and 9 is 27. The cube of k k3 t raised to the fourth power t4 Equals Is equal to, the same as, is, are, the result of, will be, are, yields = x is equal to y x = y p is the same as q p = q Multiplication by 2 Two, two times, twice, twice as much as, double 2 Twice z 2z y doubled 2y Multiplication by Half of, one-half of, half as much as, one-half times 1 2